Neural Networks-Based Cryptography: A Survey
Open accessAbstract
A current trend of research focuses on artificial intelligence based cryptography which although proposed almost thirty years ago could not attract much attention. Abadi and Anderson’s work on adversarial cryptography in 2016 rejuvenated the research area which now focuses in building neural networks that are able to learn cryptography using the idea from Generative Adversarial Networks (GANs). In this paper, we survey the most prominent research works that cover neural networks based cryptography from two main periods. The first period covers the oldest models that have been proposed shortly after 2000 and the second period covers the more recent models that have been proposed since 2016. We first discuss the implementation of the systems from the earlier era and the attacks mounted on them. After that, we focus on post 2016 era where more advanced techniques are utilized that rely on GANs in which neural networks compete with each other in order to achieve a goal e.g. learning to encrypt a communication. Finally, we discuss security analysis performed on adversarial cryptography models.
AI snapshot
Written from the paper’s full text.
TL;DR
This survey reviews neural-network-based cryptography across two periods: early Tree Parity Machine key agreement and post-2016 GAN-based adversarial cryptography. It traces attacks, security analyses, and improvements, especially the shift toward learning One-Time Pad-like encryption against stronger adversaries.
Key findings
- The early Tree Parity Machine (TPM) key-exchange model was broken by Klimov et al. using genetic/passive, geometric, and probabilistic attacks; later improvements include the Permutation Parity Machine, whose successful-attack probability is given as low as \(10^{-20}\) when \(N=16\) and \(G=128\), and an optimal TPM structure using \(K=8\), \(N=16\), \(L=2^3\) that produced a 512-bit key with 0% success for passive and geometric attacks in over 10 million simulations.
- Abadi and Andersen’s 2016 GAN-based model trains Alice and Bob to communicate while Eve tries to reconstruct the plaintext; training aims for Bob’s accuracy near 100% and Eve’s near 50%, but Zhou et al. found via \(\chi^2\), Kolmogorov-Smirnov, and NIST tests that the majority of ciphertexts were not secure/random.
- Zhou et al. also showed that training against stronger Eves can improve security: with Eve given 4 bits of the key, Bob reached 100% accuracy and Eve slightly below 50%; with 8 bits of the key, Bob could not converge and Eve exceeded 0.5 accuracy.
- Coutinho et al. changed the network structure to learn the One-Time Pad, reporting up to 100% successful communications and 95–100% learned OTPs; Zhengze et al. trained against three Eves and reported 100% successful communication across five 2048-trial runs, with OTPs learned between 98.9% and 100%.
Methods
- Design: a survey of neural-network-based cryptography, organized into early pre-GAN work and post-2016 GAN/adversarial cryptography.
- Data/sample: cited research works from roughly 2000–2020, including TPM key agreement, attacks on it, GAN-based encryption, steganography, multi-party adversarial cryptography, and security analyses.
- Main analysis: narrative description plus summary tables of contributions, techniques, vulnerabilities, and security results; the paper does not report new primary experiments.
Limitations
- The survey states that neural-network-based cryptography is still in a nascent stage, with public-key cryptography and secret sharing remaining open directions and low-capacity-device friendliness as an ongoing research trend.
- It reports limitations of surveyed models: Abadi et al.’s ciphertexts have repetitive patterns and are weak against probabilistic attacks; Coutinho et al.’s OTP relies on a pseudo-random generator and remains vulnerable without quantum computers; Zhengze et al.’s three-Eve training requires substantial resources and time.
- Evident from the text: several surveyed works lack security analysis, including the topology-evolving neural-network model and the 3D cube key-generation method, and Salguero et al. provide no insights regarding probabilistic attacks.
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Claims the paper makes
0 of 107 cited sources checked · 0 supported · 0 flagged
- Premisecitation
One of the first papers related to neural networks based cryptography was in 2000, showcasing a secure key exchange through synchronization of two neural networks.
“One of the first papers [10] related to this research direction was back in 2000, showcasing a secure key exchange through the synchronization of two neural networks.”
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- Premisecitation
Abadi and Andersen initiated a research direction on learning to protect communications with adversarial neural cryptography.
“However recently, Abadi and Andersen [13] initiated a research direction on learning to protect communications with adversarial neural cryptography.”
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- Premisecitation
The idea of Kanter et al. consists of two Tree Parity Machines synchronized to convey a key securely in the presence of passive eavesdroppers.
“The idea consists of having two neural networks called Tree Parity Machines (TPMs) and synchronize them to convey on a key securely in the presence of passive eavesdroppers that have access to the communication but cannot change or replay messages.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [10]
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- Premisecitation
After GANs, a research spurring paper appeared in late 2016 featuring two neural networks learning a symmetric key encryption system in the presence of an adversary.
“After the development of GANs, a research spurring paper appeared in late 2016, featuring two neural networks learning a symmetric key encryption system in the presence of an adversary [13].”
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- Premisecitation
Klimov et al. analysed and showed that Kanter et al.'s work is insecure and impractical as it is vulnerable against different attacks.
“Klimov et al. [12] analysed and showed that the work done by Kanter et al. [10] is insecure and impractical as it is vulnerable against different attacks that are explained below.”
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- cites [10]
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Machine learning plays a major role in cryptanalysis, a sub-domain of cryptology.
“Machine learning plays a major role in cryptanalysis, a sub-domain of cryptology [3]- [5].”
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The model in [10] was proven vulnerable by Klimov et al.
“However the model was proven to be vulnerable by Klimov et al. [12].”
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- Premisecitation
The authors in [22] implemented a 3-party scheme that showed how to train three parties so that they learn the same encryption and decryption scheme in different scenarios.
“The authors in [22] implemented a 3-party scheme that showed how to train three parties so that they learn the same encryption and decryption scheme in different scenarios, and also gave a workaround for communicating in larger groups.”
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- Premisecitation
The GAN-based key secret-sharing scheme of [38] helps lower the hardness of recovering a lost private key in blockchain.
“This scheme helps lower the hardness of recovering a lost private key in block chain.”
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- Premisereasoning
In the probabilistic attack, the attacker can use either the Hebbian learning rule or the Monte-Carlo method to update probabilistic weights and end up with identical weights to the communicating parties.
“Then, by passively eavesdropping the inputs x i,j the attacker can use either the Hebbian learning rule or the Monte-Carlo method to update p i,j (l) and end up with identical weights to the parties communicating.”
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- Premisecitation
The probability order of a successful attack on the Permutation Parity Machine can be as low as 10^-20 when N is 16 and G is 128.
“The authors then demonstrate that the probability order of a successful attack on the Permutation Parity Machine can be as low as 10 -20 when the value of N is equal to 16 and the value of G is equal to 128.”
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- Premisecitation
Prabakaran et al. improved Kanter et al.'s work by introducing queries to reduce the probability of a successful passive attack.
“In order to improve the security and remove the possibility of an attacker passively synchronizing, they introduced queries: instead of generating random inputs, Alice and Bob generate (in turn) at every iteration a set of inputs that is correlated to their respective weights, by doing this, the probability of an attacker passively synchronizing is low because the input is either linked to Alice's”
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- Premisecitation
Jin et al. proposed a method where two parties mutually generate the same secret key by synchronizing through shuffling and solving a 3D cube using a neural network model, with patterns combined with XOR to obtain the key.
“Jin et al. [31] proposed a novel method where two parties mutually generate the same secret key.The two parties synchronize by shuffling and solving a 3D cube using a neural network model.The patterns obtained during the shuffles are combined with some XOR operations to obtain the key.”
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An attacker that simulates the space of possible weight vectors using the Monte-Carlo probabilistic method can predict the final weight vector before the two parties.
“An attacker that simulates the space of possible weight vectors using the Monte-Carlo probabilistic method can predict the final weight vector before the two parties.”
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- Premisecitation
Reyes et al. transformed the Tree Parity Machine into a Permutation Parity Machine to improve security.
“One of those improvements is the work done by Reyes et al. [29] where the authors transformed the Tree Parity Machine into a Permutation Parity Machine (PPM) to improve the security.”
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- Premisecitation
After training, the parameters/weights that define the state of the neural networks can be used for current and future secure communications.
“After training is done, the parameters/weights that define the state of the neural networks can be used for current and future secure communications.”
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- Premisereasoning
The probabilistic attack is mainly possible due to the limited possible values in [-L,+L] which makes them easy to simulate.
“This is mainly due to the limited possible values in [-L, +L] which makes them easy to simulate.”
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- Premisecitation
The TPM was broken in [12] using passive, geometric and probabilistic attacks.
“Broken in [12] using three technique: Passive, Geometric and Probabilistic attack.(See the row below)”
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- Premisecitation
Two recent papers pushed the idea of the model proposed by Abadi et al. in order to build a steganography model based on neural networks.
“different researchers in two recent papers [20], [21] pushed the idea of the model proposed by Abadi et al. [13] in order to build a steganography model based on neural networks.”
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Ota et al. showcase automatically verifying the security in exchange schemes in a 3-party scenario.
“Another work by Ota et al. [35] showcases automatically verifying the security in exchange schemes in a 3-party scenario.”
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- Premisecitation
Abadi-Anderson were the researchers that spurred research in adversarial cryptography.
“Abadi-Anderson [13] were the researchers that spurred the research in the adversarial cryptography topic.”
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- Premisecitation
In Zhengze et al.'s trials with two Eves (Eve 1 and Eve 2), the maximum number of successful trials was around 77%.
“In their trials with two Eves (Eve 1 and Eve 2), the maximum number of successful trials was around 77%.”
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- Premisecitation
In Shi et al.'s setup, the neural networks learn to encrypt plaintexts in an adversarial setup.
“The neural networks learn to encrypt plaintexts in an adversarial setup.”
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The neural networks encrypt each plaintext using XOR with a unique key per plaintext.
“The neural networks encrypt each plaintext using XOR with a unique key per plaintext.”
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The overall experiments and results in [18] show that the security can be improved by training against stronger adversaries by giving them, for example, a part of the key and/or a part of the plaintext.
“The overall experiments and results in this work show that the security can be improved by training against stronger adversaries by giving them for example a part of the key and/or a part of the plaintext.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [18]
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- Premisecitation
Shi et al. did work similar to Abadi et al. but using an approach based on Quantum Neural Networks.
“While Abadi et al. [13] used classic neural networks for their setup and training, Shi et al. [42] did a similar work but using another approach based on Quantum Neural Networks.”
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- Premisecitation
Recent attacks show that it is possible to deanonymize anonymized data and link it to its original holders.
“However recent attacks such as in [39], [40] show that it is possible to deanonymize the data and link it to its original holders.”
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- Premisecitation
Alice and Bob can learn the OTP without altering their structure.
“Shows that Alice and Bob can learn the OTP without altering their structure.”
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- Premisecitation
Coutinho et al. change the structure and the function of the model in order for the neural networks to learn the one time pad with the use of a stronger Eve.
“The authors change the structure and the function of the model in order for the neural networks to learn the one time pad with the use of a stronger Eve.”
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- Premisecitation
Eve's accuracy is a little higher than the goal of 0.5 after some iterations.
“Eve's accuracy is also a little higher than the goal of 0.5 after some iterations.”
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Coutinho et al. propose a solution to the problem of randomness of the ciphertexts generated by Alice.
“Coutinho et al. [19] propose a solution to solve the problem of randomness of the ciphertexts generated by Alice.”
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- Premisecitation
Zhengze et al. proposed training the model with three Eves instead of just one.
“Instead of using just one Eve, they used three Eves.”
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Training the neural networks against stronger versions of Eve highly reduces the repetitive patterns in the ciphertexts generated.
“Trains the neural networks against stronger versions of Eve which highly reduces the repetitive patterns in the ciphertexts generated.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [18]
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- Study design and conductnone given
The authors of [18] do not test how effective the ciphertext is after Alice and Bob train against stronger versions of Eve.
“The authors do not test how effective the ciphertext is after Alice and Bob train against stronger versions of Eve.”
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- Premisecitation
The authors in [22] gave a workaround for communicating in larger groups.
“The authors in [22] implemented a 3-party scheme that showed how to train three parties so that they learn the same encryption and decryption scheme in different scenarios, and also gave a workaround for communicating in larger groups.”
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- Premisecitation
When Eve gets more information, the behavior of Alice changes as Eve starts getting more accuracy.
“When Eve gets more information, the authors noticed that the behavior of Alice changes as Eve starts getting more accuracy.”
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- Interpretationown data
By training against stronger opponents, Alice and Bob can perform better in terms of encryption in order to outperform the attackers.
“The results reconfirms our intuition that by training against stronger opponents, Alice and Bob can perform better in terms of encryption in order to outperform the attackers.”
Quote in the paperSubstantial claim - Premisereasoning
The encryption model of [13] is weak against probabilistic attacks.
“The encryption model is weak against probabilistic attacks.”
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- cites [18]
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The model learned can do well when the attacker does not know the structure of the neural networks or information about the plaintext and/or key.
“The model learned can do well when the attacker does not know the structure of the neural networks or information about the plaintext and/or key.”
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The model proposed in [13] learns a weak encryption model.
“The proposed model learns a weak encryption model.”
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- May combine two claims. 35
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PremisecitationFollowing Abadi and Andersen's work, a flow of research appeared to study the security of their model, extend it to an assumed perfectly secure protocol, and more.
“Following Abadi and Andersen's work [13], a flow of research appeared in order to study the security of their model (e.g.[18]), as well as extend it to an assumed perfectly secure protocol [19], and many more [20]- [23].”
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PremisecitationKanter et al. were among the first researchers to use machine learning to learn cryptography.
“Kanter et al. [10], were among the first researchers to make use of machine learning to learn cryptography.”
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PremisecitationSeveral follow-up works studied the security of Abadi et al.'s model, ported it to steganography, or improved its security.
“Several follow up works performed a study on the security [18], ported it to steganography [20], [21] or improved its security [19].”
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PremisecitationThe genetic attack simulates a population of neural networks with the same structure as Alice and Bob, trains them with the same public inputs, and those whose outputs are similar synchronize with the targets and can read the communication.
“The general idea is to simulate a big population of neural networks that have the same structure as Alice and Bob and train them with same public inputs.The neural networks from the population whose outputs are similar to the two targeted neural networks, are now synchronised with the targets and can read the communication between them.”
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PremisecitationAbadi and Andersen's model aims to create neural networks that can learn to encrypt a communication without being taught any specific encryption algorithm.
“Specifically, it aims to create neural networks that can learn to encrypt a communication without being taught any specific encryption algorithm.”
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PremisecitationKanter et al. proposed a popular key agreement protocol in 2001 showing two neural networks can learn to exchange a secret key without using known cryptography methods.
“One very popular protocol by Kanter et al. [10] was proposed during the year 2001 and showed how two neural networks can learn to exchange a secret key without using any sort of known cryptography methods.”
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PremisecitationMachine learning can help learn from data generated by cryptographic algorithms and detect significant patterns.
“Machine learning can help learn from the data generated by the cryptographic algorithm and detect significant patterns [6]- [8]”
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PremisecitationSeveral cryptographic protocols using machine learning and deep learning models proposed in the late 1990s and early 2000s were deemed insecure and concrete attacks were shown subsequently.
“In late 90's and early 2000's, several cryptographic protocols using machine learning and deep learning models were proposed such as [9]- [11], but were deemed insecure and even some concrete attacks [12] were shown subsequently.”
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PremisecitationSpectrum-Diverse Neuroevolution with Unified Neural Models is a type of neural network structure that can evolve by adding or removing neurons to/from its structure.
“a new topology called Spectrum-Diverse Neuroevolution with Unified Neural Models [23] which is basically a type of neural network structure that can evolve by adding or removing neurons to/from its structure.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [23]
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PremisecitationAbadi et al.'s model is vulnerable against probabilistic attacks and its generated ciphertexts have many repetitive patterns.
“Vulnerable against probabilistic attacks.The ciphertexts generated have many repetitive patterns.”
- Also stated in: § 2018 · boosted
“Prove that the model learned in [13] is weak against probabilistic attacks.”
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- cites [18]
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- Rests on an assumption: The ciphertexts generated by Abadi et al.'s model have many repetitive patterns.
- Also stated in: § 2018 · boosted
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PremisecitationCoutinho et al. changed the structure of the neural networks so that they learn the One-Time Pad, which is secure against probabilistic attacks.
“The authors change the structure of the neural networks so that they learn the One-Time Pad which is secure against probabilistic attacks.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [19]
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Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationSalguero et al.'s optimal TPM structure results in a 0.00004% probability of successful passive attacks and 0% on geometric attacks, with no insights regarding probabilistic attacks provided.
“Results a 0.00004% probability of successful passive attacks and 0% on geometric attacks.”
- Also stated in: § Not Applicable 2019 · plain
“No insights regarding probabilistic attacks provided.”
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- Also stated in: § Not Applicable 2019 · plain
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PremisecitationSeoane et al. demonstrated a successful probabilistic attack on the Permutation Parity Machine, rendering it nonsecure.
“However Seoane et al. [30] demonstrate a successful probabilistic attack on the Permutation Parity Machine which therefore renders the PPM discussed by Reyes et al. [29] nonsecure.”
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PremisecitationAlice and Bob's goal is to communicate securely by minimizing the error between the original plaintext and Bob's deciphered output text.
“Alice and Bob's goal is to communicate securely by minimizing the error between the original plaintext and Bob's deciphered output text.”
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PremisecitationThe results from [37] show that it is possible to implement topology-evolving neural networks and that they can evolve and learn a symmetric encryption protocol.
“The results from [37] show that it is possible to implement such neural networks and they can evolve and learn a symmetric encryption protocol.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [37]
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PremisecitationIn Abadi-Anderson's setup, Eve's goal is reconstruction of the plaintext from the ciphertext only, not distinguishing the ciphertext from a random value as in a standard GAN.
“While in the setup of a GAN, Eve's goal would be to distinguish between the cipher text C and a random value from a certain distribution; Her goal here is the reconstruction of the plaintext from the ciphertext only.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [13]
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PremisecitationEve's goal is to reconstruct the plaintext using the ciphertext only, without knowing the secret key.
“Eve's goal is to reconstruct the plaintext using the cipher text only i.e. without knowing the secret key.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [13]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationSalguero et al. studied the original TPM and proposed an optimal structure that generated a 512 bits key.
“Another improvement to the Tree Parity Machine has been done by Salguero et al. [25].They studied the original TPM and proposed an optimal structure that generated a 512 bits key.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [25]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
InterpretationreasoningEve's accuracy needs to be around 50% because in probabilities, when an entity is making random guesses, the worst case is 50% wrong and 50% correct, so one cannot tell which guesses are correct.
“The reason why Eve's accuracy needs to be around 50% is because in probabilities, when an entity is making random guesses; the worst case scenario is to be 50% wrong and 50% correct.In that case, you can not tell which guesses are correct and which are not.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
PremisereasoningThe only drawback of the adversarial cryptography model is that it takes a considerable amount of time to synchronize two parties for the first time, because they do not have pre-saved parameters.
“The only drawback is that it takes a considerable amount of time to synchronize two parties for the first time as they do not have pre-saved parameters.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim. May combine two claims.
PremisecitationThe model consists of two neural networks (Alice and Bob) sharing a secret key k, with the goal to establish secure communication in the presence of an adversary, the third neural network Eve.
“The model consists of two neural networks (Alice and Bob) sharing a secret key k and their goal is to establish a secure communication in the presence of an adversary, the third neural network (Eve).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [13]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationIncreasing the number of hidden units N increases the complexity of the geometric attack exponentially and renders it difficult to conduct.
“In their study, they deducted that neural networks with a larger value N of the hidden units will increase the complexity of the geometric attack exponentially and therefore render it difficult to conduct.”
- Also stated in: § 2007 · plain
“Shows that increasing the number of neurones increases the complexity of the geometric attack exponentially.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [28]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Also stated in: § 2007 · plain
May combine two claims.
PremisereasoningIn the adversarial cryptography model, the neural networks learn an encryption method on their own without being taught or shown any specific encryption method such as AES, so no specific algorithm with detailed steps needs to be built.
“The neural networks will work on learning a method on their own without being taught or shown any specific encryption method such as AES.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [13]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim.
PremisecitationSalguero et al. presume their method is secure enough based on heuristic rule validation showing small parameter changes lead to a polynomial increase in synchronization time.
“The authors finally validate their results with the heuristic rule and the results show that a small change in the parameters would lead to a polynomial increase of the synchronization time and therefore the authors presume that their method is secure enough.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [25]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenTraining multiple parties to learn an adversarial cryptography scheme might be challenging and time consuming.
“Talking among multiple parties using Adversarial Cryptography can be a useful feature to be implemented however training multiple parties on learning the scheme might be challenging and time consuming.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationReyes et al. conducted comparative attacks on the TPM and PPM; results show the PPM performs better against the attacks proposed by Klimov et al. compared to the TPM.
“Reyes et al. [29] conduct comparative attacks on the TPM and the PPM.The results show that the Permutation Parity Machine performs better against the attacks proposed by Klimov et al. [12] compared to the Tree Parity Machine.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [29]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [12]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationIn the training phase, a random key K and a random plaintext P are generated at every iteration; the key is known to Alice and Bob but not Eve.
“In this phase, a random key K and a random plaintext P are generated at every iteration.The key is known to Alice and Bob but not Eve.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [13]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductcitationIn these steganography models, a different image/secret-text combination is used at every training iteration in order to prevent Alice and Bob from learning a model specific to one particular image or secret text.
“A different image/secret-text combination is used at every training iteration in order to prevent Alice and Bob from learning a model specific to one particular image or secret text.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [20]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [21]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationPurswani et al.'s results show that the accuracy of the model can increase by up to 21% when the Python built-in random function is replaced with other techniques such as the logistic chaotic key or the Henon key.
“Their results show that the accuracy of the model can increase up to 21% when replacing the python built-in random function with other techniques such as the logistic chaotic key or the Henon key.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [36]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationIn Salguero et al.'s simulations, the neural networks synchronized in a maximum of 6 seconds with a 0% success rate for the attacker, using K=8, N=16 and L=2^3.
“In their simulations, the authors showed a case where the neural networks synchronize in a maximum of 6 seconds with a 0% success rate for the attacker.This was done by using the values K = 8, N = 16 and L = 2 3 for the structure of the TPM.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [25]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationKiyomoto et al. provide a good example of automatic security protocol generation.
“A good example of protocol generation is done by Kiyomoto et al. [34].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [34]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationThe authors of Neural Cryptography Based on the Topology Evolving Neural Networks do not provide any security analysis as their work focused on establishing a successful communication.
“The authors do not provide any security analysis as their work focused on establishing a successful communication.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [23]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S4 (based). May combine two claims.
InterpretationreasoningUsing neural networks based models for encryption is expected to provide substantial security with reduced CPU usage of IoT devices.
“As IoT devices work on timelimited batteries, using neural networks based models for encryption is expected to provide substantial security with reduced CPU usage of the devices.”
Quote in the paperNot a substantial claim- Rests on an assumption: Neural network models are usually lightweight, fast and efficient.
May combine two claims. The quote only partly states this claim.
PremisecitationAll the results of Zhou et al.'s randomness tests show that the majority of ciphertexts generated by Alice are not secure, which makes the model insecure in terms of distinguishability.
“texts are not secure which makes this model insecure in terms of distinguishability.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [18]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim. May combine two claims.
PremisecitationAs classical computers cannot generate a fully random pattern, the OTP model will not prove useful unless used with a quantum computer.
“As classical computers cannot generate a fully random pattern, the model will not prove useful unless used with a quantum computer.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [19]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Rests on an assumption: Classical computers cannot generate a fully random pattern.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Premisenone givenNeural network based cryptography has drawn significant attention with the hope that it could provide post-quantum cryptographic primitives.
“Neural network based cryptography has drawn significant attention with the hope that it could provide post-quantum cryptographic primitives.”
Quote in the paperNot a substantial claimMay combine two claims.
Premisenone givenThe introduction of the OTP by Coutinho et al. and Zhengze et al. solves the problem of randomness and improves the model by Abadi et al.
“The introduction of the OTP by Coutinho et al. [19] and Zhengze et al. [24] that solves the problem of randomness and improving the model by Abadi et al. [13].”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites [19]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [24]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [13]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationBy using the new Eve structure, the authors were able to get up to 100% successful communications during their trials and between 95% and 100% learned OTPs.
“By using this method, the authors were able to get up to 100% successful communications during their trials and between 95% and 100% learned OTPs.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [19]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S4 (based). May combine two claims.
Interpretationnone givenGANs-based neural networks can learn symmetric encryption as well as privacy preserving.
“observed that GANs-based neural networks can learn symmetric encryption as well as privacy preserving.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisenone givenAlice and Bob produce more complex ciphertexts.
“Alice and Bob produce more complex ciphertexts.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [24]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationWith three Eves, Zhengze et al. got between 97 and 100% successful communications and OTPs learned.
“But with the 3 Eves, they got between 97 and 100% successful communications and OTPs learned.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [24]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationWith 8 bits of key, Eve is much more accurate in her decryption, which pushes Alice to make the encryption method so complicated that Bob cannot converge and get a perfect decryption of the ciphertexts sent by Alice.
“However with 8 bits of key, Eve is much more accuracte in her decryption which pushes Alice to make the encryption method so complicated that Bob even cannot converge and get a perfect decryption of the ciphertexts sent by Alice.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [18]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim. May combine two claims.
PremisecitationThe neural networks learn the one time pad by learning the XOR operation and encrypting each given plaintext with a unique key.
“Concretely, learning the XOR operation and encrypting each given plaintext with a unique key.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [19]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationThe authors of [19] propose another model that learns the One Time Pad, which improves the security and the weakness against probabilistic attacks.
“The authors then propose another model that learns the One Time Pad which improves the security and the weakness against probabilistic attacks.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [19]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationWith the new Alice and Bob structure, the neural networks were able to communicate but were not able to learn the one time pad.
“By processing the inputs this way, the authors show that the neural networks were able to communicate but were not able to learn the one time pad.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [19]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
Premisenone givenAs Alice and Bob train against three Eves, the model needs a lot of resources and time to be trained.
“As Alice and Bob train against three Eves, the model needs a lot of resources and time to be trained.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [24]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningNeural networks based cryptographic models, with suitable enhancements and modifications, may be expected to provide a lightweight post-quantum secure primitive.
“as the security is not based on any computational hardness assumption, neural networks based cryptographic models (with suitable enhancements and modifications) may be expected to provide a lightweight postquantum secure primitive.”
Quote in the paperNot a substantial claim- Rests on an assumption: The security of neural networks based cryptographic models is not based on any computational hardness assumption.
May combine two claims.
PremisecitationWhen Eve has only 4 bits of the key, Alice and Bob can beat her and the synchronization is successful with 100% accuracy for Bob and a little less than 50% accuracy for Eve.
“We can see in figure 9 and 10 that when Eve has only 4 bits of the key, Alice and Bob can beat her and the synchronization is successful with 100% accuracy for Bob and a little less than 50% accuracy for Eve.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [18]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationZhou et al. proposed a security analysis as well as a follow-up work on the GAN-based encryption proposed by Abadi et al.
“Zhou et al. [18] proposed a security analysis as well as a follow up work on the new way to do encryption based on GANs as proposed by Abadi et al. [13].”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [18]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [13]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims. The quote only partly states this claim.
PremisecitationIn the experiment where Eve gets 16 bits of plaintext and the key, Bob has 100% accuracy while Eve has a little less than that.
“We can see that Bob has a 100% accuracy while Eve has a little less than that.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [18]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim.
InterpretationreasoningThe GAN-based approach might prove useful against quantum computers because the model learned does not depend on a difficult mathematical problem.
“Opened the path to a new way to use GANs which might prove useful against quantum computers as the model learned does not depend on a difficult mathematical problem.”
Quote in the paperSubstantial claimMay combine two claims.
PremisecitationChong et al.'s Generative Adversarial Privacy model can protect data and anonymize it properly while preserving its utility.
“through what they called Generative Adversarial Privacy (GAP) the authors built a model that can protect the data and anonymize it properly while preserving its utility.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [41]
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Rests on an assumption: Training neural network models requires having on hand a lot of data, and this data is generally difficult to acquire due to privacy problems.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Premisenone givenResearch in neural network based cryptography is still in a nascent stage.
“However, the research in this field is still in a nascent stage and several developments in different fronts are observed on a regular basis.”
Quote in the paperNot a substantial claim
The paper relies on this without support.
The interest in neural network based cryptography took a dip because simple computations, even XOR, could not be computed by simple neural networks.
“The interest in neural network based cryptography took a dip because of the fact that simple computations, even as basic as exclusive-or (XOR) operation could not be computed by simple neural networks.”
The paper relies on this without support.
The one time pad is based on a pseudo-random generator which still makes it vulnerable when not using quantum computers.
“The one time pad is based on a pseudo-random generator which still makes it vulnerable when not using quantum computers.”
The paper relies on this without support.
The ciphertexts generated by Abadi et al.'s model have many repetitive patterns.
“The ciphertexts generated have many repetitive patterns.”
The paper relies on this without support.
Training neural network models requires having on hand a lot of data, and this data is generally difficult to acquire due to privacy problems.
“Training neural network models requires having on hand a lot of data.This data is generally is difficult to acquire due to privacy problems.”
The paper relies on this without support.
Neural network models are usually lightweight, fast and efficient.
“As Neural Network models are usually lightweight, fast and efficient, the first possible usage case is to apply the learned protocols between IoT devices.”
The paper relies on this without support.
The security of neural networks based cryptographic models is not based on any computational hardness assumption.
“as the security is not based on any computational hardness assumption, neural networks based cryptographic models (with suitable enhancements and modifications) may be expected to provide a lightweight postquantum secure primitive.”
The paper relies on this without support.
Classical computers cannot generate a fully random pattern.
“As classical computers cannot generate a fully random pattern, the model will not prove useful unless used with a quantum computer.”
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Topology-evolving cryptography paper has the wrong reference number
MinorThe summary cites [23] for the topology-evolving neural cryptography paper, but reference [23] is a different paper. The matching paper is listed as reference [37].
“Neural Cryptography Based on the Topology Evolving Neural Networks [23].”
“23. D. V. Vargas and J. Murata, "Spectrum-diverse neuroevolution with unified neural models," CoRR, vol. abs/1902.06703, 2019.”
Publication year for the Kanter paper differs between table and reference
MinorThe table places the cited paper in 2001, whereas its reference entry dates it to 2002.
“2001 | Information by Synchronization of”
“10. I. Kanter, W. Kinzel, and E. Kanter, "Secure exchange of information by synchronization of neural networks," EPL (Europhysics Letters), vol. 57, 02 2002.”
Publication year for the Zhou paper differs between summary and reference
MinorThe summary labels the cited work as 2018, but its reference entry gives 2019.
“2018 Security Analysis and New Models on the Intelligent Symmetric Key Encryption [18].”
“18. L. Zhou, J. Chen, Y. Zhang, C. Su, and M. A. James, "Security analysis and new models on the intelligent symmetric key encryption," Computers & Security, vol. 80, pp. 14 -24, 2019.”
Cites
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Kingma, D. P., & Ba, J. (2014) · arXiv · doi:10.48550/arxiv.1412.6980 · Cited by 98,946 · cited 1× · see citing works
“The model is optimized with the Adam algorithm [41] and the authors perform their experiments using the Strawberry Fields32 tool.”
MethodLabaca-Castro, R. (2023) · Springer eBooks · doi:10.1007/978-3-658-40442-0_9 · Cited by 21,100 · see citing works
GAN(Generative Adversarial Nets)
淳司, 柴. (2017) · Journal of Japan Society for Fuzzy Theory and Intelligent Informatics · doi:10.3156/jsoft.29.5_177_2 · Cited by 19,268 · see citing works
Generative adversarial networks
Goodfellow, I., Pouget-Abadie, J., Mirza, M., Xu, B., Warde-Farley, D., Ozair, S., Courville, A., & Bengio, Y. (2020) · Communications of the ACM · doi:10.1145/3422622 · Cited by 18,384 · see citing works
New directions in cryptography
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A method for obtaining digital signatures and public-key cryptosystems
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A method for obtaining digital signatures and public-key cryptosystems
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Functional connectome fingerprinting: Identifying individuals using patterns of brain connectivity
Finn, E. S., Shen, X., Scheinost, D., Rosenberg, M. D., Huang, J., Chun, M. M., Papademetris, X., & Constable, R. T. (2015) · Nature Neuroscience · doi:10.1038/nn.4135 · Cited by 2,747 · cited 1× · see citing works
“However recent attacks such as in [37], [38] show that it is possible to deanonymize the data and link it to its original holders.”
BackgroundSupervised learning with quantum-enhanced feature spaces
Havlíček, V., Córcoles, A. D., Temme, K., Harrow, A. W., Kandala, A., Chow, J. M., & Gambetta, J. M. (2019) · Nature · doi:10.1038/s41586-019-0980-2 · Cited by 2,572 · cited 1× · see citing works
“Another interesting research area focuses on quantum-enhancing the neural networks which requires writing a quantum circuit of the neural network and running it on a quantum machine simulator or on an online available quantum machine [43], [44].”
BackgroundRobust De-anonymization of Large Sparse Datasets
Narayanan, A., & Shmatikov, V. (2008) · 2008 IEEE Symposium on Security and Privacy (sp 2008) · doi:10.1109/sp.2008.33 · Cited by 2,372 · cited 1× · see citing works
“However recent attacks such as in [37], [38] show that it is possible to deanonymize the data and link it to its original holders.”
BackgroundNew Directions in Cryptography
Diffie, W., & Hellman, M. E. (2022) · ACM eBooks · doi:10.1145/3549993.3550007 · Cited by 672 · see citing works
Quantum-Enhanced Machine Learning
Dunjko, V., Taylor, J. M., & Briegel, H. J. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.130501 · Cited by 460 · cited 1× · see citing works
“Another interesting research area focuses on quantum-enhancing the neural networks which requires writing a quantum circuit of the neural network and running it on a quantum machine simulator or on an online available quantum machine [43], [44].”
BackgroundGenerating Steganographic Images via Adversarial TrainingPreprint
Hayes, J., & Danezis, G. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1703.00371 · Cited by 235 · see citing works
Learning to Protect Communications with Adversarial Neural Cryptography
Abadi, M., & Andersen, D. G. (2016) · arXiv · doi:10.48550/arxiv.1610.06918 · Cited by 182 · cited 10× · see citing works
“In their models and similarly to the work by Abadi and Andersen [12], Alice will use an image and a secret text as input to her neural network.”
BackgroundMethodInfluentialSecure exchange of information by synchronization of neural networks
Kanter, I., Kinzel, W., & Kanter, E. (2002) · Europhysics Letters (EPL) · doi:10.1209/epl/i2002-00552-9 · Cited by 181 · cited 10× · see citing works
“One very popular protocol by Kanter et al. [9] was proposed during the year 2001 and showed how two neural networks can learn to exchange a secret key without using any sort of known cryptography methods.”
BackgroundMethodInfluentialContext-Aware Generative Adversarial Privacy
Huang, C., Kairouz, P., Chen, X., Sankar, L., & Rajagopal, R. (2017) · Entropy · doi:10.3390/e19120656 · Cited by 156 · cited 1× · see citing works
“[39] comes into play, through what they called Generative Adversarial Privacy (GAP) the authors built a model that can protect the data and anonymize it properly while preserving its utility.”
BackgroundCryptography based on delayed chaotic neural networks
Yu, W., & Cao, J. (2006) · Physics Letters A · doi:10.1016/j.physleta.2006.03.069 · Cited by 140 · cited 1× · see citing works
“For more information, see https://creativecommons.org/licenses/by/4.0/ proposed such as [8]–[10], but were deemed insecure and even some concrete attacks [11] were shown subsequently.”
BackgroundInfluentialAnalysis of Neural Cryptography
Klimov, A., Mityagin, A., & Shamir, A. (2002) · Lecture notes in computer science · doi:10.1007/3-540-36178-2_18 · Cited by 135 · cited 6× · see citing works
“We will see how it was broken in [11] and some of its improvements especially in [24].”
BackgroundMethodInfluentialUSE OF A GENETIC ALGORITHM IN THE CRYPTANALYSIS OF SIMPLE SUBSTITUTION CIPHERS
Spillman, R. J., Janssen, M., Nelson, B., et al. (1993) · Cryptologia · doi:10.1080/0161-119391867746 · Cited by 133 · see citing works
Secure exchange of information by synchronization of neural networksPreprint
Kanter, I., Kinzel, W., & Kanter, E. (2002) · Cited by 130 · see citing works
Voice Impersonation Using Generative Adversarial Networks
Gao, Y., Singh, R., & Raj, B. (2018) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2018.8462018 · Cited by 92 · cited 1× · see citing works
“GANs are powerful in their ability of mimicking various types of data, and hence broadly used especially in image and voice generation [14]–[16] to generate synthetic data which are indistinguishable from the true data distribution.”
BackgroundJamil, T. (2004) · IEEE Potentials · doi:10.1109/mp.2004.1289996 · Cited by 87 · cited 1× · see citing works
“Among others, the RSA cryptosystem [1] is widely used as a standard for public-key encryption and digital signature; and the Rijndael algorithm (also known as AES) [2] for symmetric encryption.”
MethodCoutinho, M., De Oliveira Albuquerque, R., Borges, F., García Villalba, L., & Kim, T.-H. (2018) · Sensors · doi:10.3390/s18051306 · Cited by 75 · see citing works
Machine Learning Cryptanalysis of a Quantum Random Number Generator
Truong, N. D., Haw, J. Y., Assad, S. M., Lam, P. K., & Kavehei, O. (2018) · IEEE Transactions on Information Forensics and Security · doi:10.1109/tifs.2018.2850770 · Cited by 66 · cited 2× · see citing works
“Machine learning can help learn from the data generated by the cryptographic algorithm and detect significant patterns [5]–[7] In late 90’s and early 2000’s, several cryptographic protocols using machine learning and deep learning models were”
BackgroundDynamics of neural cryptography
Ruttor, A., Kinzel, W., & Kanter, I. (2007) · Physical Review E · doi:10.1103/physreve.75.056104 · Cited by 65 · cited 2× · see citing works
“The authors of [9] however conducted a study on the geometric attack in [27] to prevent it.”
BackgroundMethodDeep Learning-Based Cryptanalysis of Lightweight Block Ciphers
So, J. (2020) · Security and Communication Networks · doi:10.1155/2020/3701067 · Cited by 63 · see citing works
GAN-Based Key Secret-Sharing Scheme in Blockchain
Zheng, W., Wang, K., & Wang, F. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2963138 · Cited by 61 · cited 1× · see citing works
“The authors of this work [36] implement a secure key sharing scheme based on GANs.”
MethodAn Approach to Cryptography Based on Continuous-Variable Quantum Neural Network
Shi, J., Chen, S., Lu, Y., Feng, Y., Shi, R., Yang, Y., & Li, J. (2020) · Scientific Reports · doi:10.1038/s41598-020-58928-1 · Cited by 61 · cited 1× · see citing works
“While Abadi and Andersen [12] used classic neural networks for their setup and training, Shi et al. [40] did a similar work but using another approach based on Quantum Neural Networks.”
MethodAppearance and Pose-Conditioned Human Image Generation Using Deformable GANs
Siarohin, A., Lathuilière, S., Sangineto, E., & Sebe, N. (2019) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2019.2947427 · Cited by 60 · cited 1× · see citing works
“GANs are powerful in their ability of mimicking various types of data, and hence broadly used especially in image and voice generation [14]–[16] to generate synthetic data which are indistinguishable from the true data distribution.”
BackgroundImage generation using generative adversarial networks and attention mechanism
Kataoka, Y., Matsubara, T., & Uehara, K. (2016) · IEEE/ACIS International Conference on Computer and Information Science (ICIS) · doi:10.1109/icis.2016.7550880 · Cited by 44 · see citing works
Dorokhin, É. S., Fuertes, W., & Lascano, J. E. (2019) · Security and Communication Networks · doi:10.1155/2019/8214681 · Cited by 39 · see citing works
Steganography using a 3-player game
Yedroudj, M., Comby, F., & Chaumont, M. (2020) · Journal of Visual Communication and Image Representation · doi:10.1016/j.jvcir.2020.102910 · Cited by 39 · cited 6× · see citing works
“The GANs based steganography models [19], [20], [42] which are based on [12] and enable neural networks to learn steganography by hiding a text inside an image and send it through an open network subject to eavesdrop-ping.”
BackgroundMethodInfluentialSpectrum-Diverse Neuroevolution With Unified Neural Models
Vargas, D. V., & Murata, J. (2016) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2016.2551748 · Cited by 38 · cited 3× · see citing works
“[17]), as well as extend it to an assumed perfectly secure protocol [18], and many more [19]–[22].”
BackgroundMethodInfluentialSecurity analysis and new models on the intelligent symmetric key encryption
Zhou, L. Q., Chen, J., Zhang, Y., Su, C., & James, M. A. (2018) · Computers & Security · doi:10.1016/j.cose.2018.07.018 · Cited by 36 · cited 6× · see citing works
“In this section, we will see a security analysis conducted by Zhou et al. [17] to see how the secure are the cipher-texts generated by the neural networks in the model proposed by Abadi and Andersen [12].”
BackgroundMethodInfluentialA neural network approach for visual cryptography
Yue, T.-W., & Chiang, S. (2000) · doi:10.1109/ijcnn.2000.861518 · Cited by 29 · cited 1× · see citing works
“proposed such as [8]–[10], but were deemed insecure and even some concrete attacks [11] were shown subsequently.”
Background3D CUBE Algorithm for the Key Generation Method: Applying Deep Neural Network Learning-Based
Jin, J., & Kim, K. (2020) · IEEE Access · doi:10.1109/access.2020.2973695 · Cited by 24 · cited 1× · see citing works
“Jin and Kim [30] proposed a novel method where two parties mutually generate the same secret key.”
MethodNeural Cryptography Based on the Topology Evolving Neural Networks
Zhu, Y., Vargas, D. V., & Sakurai, K. (2018) · International Symposium on Computing and Networking Workshops (CANDARW) · doi:10.1109/candarw.2018.00091 · Cited by 23 · cited 3× · see citing works
“So concretely, in [35] they do not use a fixed neural network structure but a structure”
BackgroundMethodSelf-citationInformation encryption communication system based on the adversarial networks Foundation
Li, Z., Yang, X., Shen, K., Zhu, R., & Jiang, J. (2020) · Neurocomputing · doi:10.1016/j.neucom.2020.08.041 · Cited by 20 · cited 3× · see citing works
“We will also see how it was improved by Coutinho et al. [18] and Li et al. [23].”
MethodInfluentialChaos Theory on Generative Adversarial Networks for Encryption and Decryption of Data
Purswani, J., Rajagopal, R., Khandelwal, R., et al. (2019) · Advances in intelligent systems and computing · doi:10.1007/978-981-15-0339-9_20 · Cited by 17 · cited 1× · see citing works
“Purswani et al. [34] propose the same model but use chaos theory to generate a more random key.”
MethodGenerative Steganography with Kerckhoffs' Principle based on Generative Adversarial Networks.Preprint
Ke, Y., Zhang, M., Liu, J., et al. (2017) · arXiv (Cornell University) · Cited by 16 · see citing works
Various Approaches towards Cryptanalysis
Prajapat, S., & Singh, R. (2015) · International Journal of Computer Applications · doi:10.5120/ijca2015906518 · Cited by 13 · cited 1× · see citing works
“Machine learning plays amajor role in cryptanalysis, a subdomain of cryptology [3]–[5].”
BackgroundSuccessful attack on permutation-parity-machine-based neural cryptography
Seoane, L. F., & Ruttor, A. (2012) · Physical Review E · doi:10.1103/physreve.85.025101 · Cited by 11 · cited 1× · see citing works
“[29] demonstrate a successful probabilistic attack on the Permutation Parity Machine which therefore renders the PPM discussed by Reyes et al.”
BackgroundPermutation parity machines for neural cryptography
Reyes, O. M., & Zimmermann, K.-H. (2010) · Physical Review E · doi:10.1103/physreve.81.066117 · Cited by 9 · cited 3× · see citing works
“However Seoane et al. [29] demonstrate a successful probabilistic attack on the Permutation Parity Machine which therefore renders the PPM discussed by Reyes et al. [28] non-secure.”
BackgroundMethodInfluential3-Party Adversarial Cryptography
Meraouche, I., Dutta, S., & Sakurai, K. (2020) · Lecture notes on data engineering and communications technologies · doi:10.1007/978-3-030-39746-3_27 · Cited by 9 · cited 1× · see citing works
“The authors in [21] implemented a 3-party scheme that showed how to train three parties so that they learn the same encryption and decryption scheme in different scenarios, and also gave a workaround for communicating in larger groups.”
Self-citationA New Security on Neural Cryptography with Queries
Prabakaran, N., & Vivekanandan, P. (2010) · Cited by 7 · see citing works
Adversarial neural networks for playing hide-and-search board game Scotland Yard
Dash, T., Dambekodi, S. N., Reddy, P. N., et al. (2018) · Neural Computing and Applications · doi:10.1007/s00521-018-3701-0 · Cited by 5 · cited 1× · see citing works
“Another example is by Dash et al. [25] where the authors investigate whether it is possible to apply adversarial neural networks for playing the popular hide-and-search board game called Scotland Yard.”
BackgroundNovel fully convolutional network for cryptanalysis of cryptosystem by equal modulus decomposition
Wang, F., Ni, R., Wang, J., Zhu, Z. D., Chen, X., & Hu, Y. H. (2020) · Laser Physics Letters · doi:10.1088/1612-202x/aba1f1 · Cited by 5 · cited 1× · see citing works
“Machine learning can help learn from the data generated by the cryptographic algorithm and detect significant patterns [5]–[7] In late 90’s and early 2000’s, several cryptographic protocols using machine learning and deep learning models were”
BackgroundON-THE-FLY AUTOMATIC GENERATION OF SECURITY PROTOCOLS
Kiyomoto, S., Ota, H., & Tanaka, T. (2008) · International Conference on Enterprise Information Systems · doi:10.5220/0001677500970104 · Cited by 2 · see citing works
Appearance and Pose-Conditioned Human Image Generation using Deformable GANs
Siarohin, A., Lathuilière, S., Sangineto, E., et al. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1905.00007 · Cited by 2
Successful attack on PPM-based neural cryptography
Seoane, L. F., & Ruttor, A. (2011) · arXiv.org · doi:10.48550/arxiv.1111.5792 · Cited by 2
Automatic security verification for 3-party authentication and key exchange protocols
Ota, H., Kiyomoto, S., & Miyake, Y. (2011) · International Conference on Network and System Security (NSS) · doi:10.1109/icnss.2011.6060010 · Cited by 1 · cited 1× · see citing works
“[33] showcases automatically verifying the security in exchange schemes in a 3-party scenario.”
BackgroundSpectrum-Diverse Neuroevolution with Unified Neural Models
Vargas, D. V., & Murata, J. (2019) · arXiv · doi:10.48550/arxiv.1902.06703
Context-Aware Generative Adversarial Privacy
Huang, C., Kairouz, P., Chen, X., et al. (2017) · arXiv · doi:10.48550/arxiv.1710.09549
Generative Steganography with Kerckhoffs' Principle
Ke, Y., Zhang, M., Liu, J., et al. (2017) · arXiv · doi:10.48550/arxiv.1711.04916
Steganography using a 3 player game
Yedroudj, M., Comby, F., & Chaumont, M. (2019) · arXiv · doi:10.48550/arxiv.1907.06956
Voice Impersonation using Generative Adversarial Networks
Gao, Y., Singh, R., & Raj, B. (2018) · arXiv · doi:10.48550/arxiv.1802.06840
Security Verification for Authentication and Key Exchange Protocols, Revisited
Ota, H., Kiyomoto, S., & Tanaka, T. (2010) · 2010 IEEE 24th International Conference on Advanced Information Networking and Applications Workshops · doi:10.1109/waina.2010.43
Permutation parity machines for neural synchronization
Reyes, O. M., Kopitzke, I., & Zimmermann, K.-H. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/19/195002
Flagged first, then by citations
Cited by
Sorted by citations
Deep learning-based encryption for secure transmission digital images: A survey
Rohhila, S., & Singh, A. K. (2024) · Computers & Electrical Engineering · doi:10.1016/j.compeleceng.2024.109236 · Cited by 49 · see citing works
Singh, O. P., Singh, K. N., Singh, A. K., & Agrawal, A. K. (2024) · Neurocomputing · doi:10.1016/j.neucom.2024.128714 · Cited by 44 · see citing works
Biswas, C., Haque, M. M., & Gupta, U. D. (2022) · IEEE Access · doi:10.1109/access.2022.3188798 · Cited by 22 · see citing works
Pseudorandom number generators based on neural networks: a review
Wu, X., Han, Y., Zhang, M., Zhu, S., Cui, S., Wang, Y., & Peng, Y. (2025) · Journal of King Saud University - Computer and Information Sciences · doi:10.1007/s44443-025-00007-4 · Cited by 20 · see citing works
Learning asymmetric encryption using adversarial neural networks
Meraouche, I., Dutta, S., Tan, H., & Sakurai, K. (2023) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2023.106220 · Cited by 16 · see citing works
Self-citationThe Dichotomy of Neural Networks and Cryptography: War and Peace
Zolfaghari, B., & Koshiba, T. (2022) · Applied System Innovation · doi:10.3390/asi5040061 · Cited by 13 · see citing works
Hardware Components for Nonlinear Neuro-like Data Protection in Mobile Smart Systems
Tsmots, I., Tkachenko, R., Teslyuk, V., et al. (2022) · IEEE International Conference on Computer Sciences and Information Technologies (CSIT) · doi:10.1109/csit56902.2022.10000636 · Cited by 9 · see citing works
Enhancing Post-Quantum Cryptography with Adversarial Neural Cryptography
Hanafi, B., Bokhari, M. U., & Khan, I. (2024) · International Conference on Computing for Sustainable Global Development · doi:10.23919/indiacom61295.2024.10498577 · Cited by 9 · see citing works
“…Cryptography is based on Generative Adversarial networks, in which two different neural networks train each other in an adversarial manner for communication, and a third neural network attempts to interpret the communication channel by eavesdropping on the network through predictive learning [5].”
BackgroundSAFE-MED for Privacy-Preserving Federated Learning in IoMT via Adversarial Neural Cryptography
Khan, M. Z., Abbass, W., Abbas, N., Javed, M. A., Alahmadi, A. M., & Majeed, U. (2025) · Mathematics · doi:10.3390/math13182954 · Cited by 8 · see citing works
RIE-GAN: A retrievable image encryption method based on GAN
Nan, Y., & Wo, Y. (2025) · Digital Signal Processing · doi:10.1016/j.dsp.2025.105202 · Cited by 7 · see citing works
Two Layer Symmetric Cryptography Algorithm for Protecting Data from燗ttacks
Nadeem, M., Ali, A., Riaz, S., et al. (2022) · Computers, materials & continua/Computers, materials & continua (Print) · doi:10.32604/cmc.2023.030899 · Cited by 7 · see citing works
Zolfaghari, B., & Koshiba, T. (2022) · Applied System Innovation · doi:10.3390/asi5040075 · Cited by 7 · see citing works
Secure and portable health monitoring system for cyber physical systems in internet of things
Sarkar, A., & Jhamb, M. (2024) · Engineering Research Express · doi:10.1088/2631-8695/ad5269 · Cited by 5 · see citing works
Spinelli, F., Moretti, R., Addabbo, T., et al. (2023) · Conference on Ph.D. Research in Microelectronics and Electronics · doi:10.1109/prime58259.2023.10161903 · Cited by 4 · see citing works
“In the last few years, different research works have been published in the literature following an emerging trend exploring the applicability of artificial intelligence to hardware security [1], cryptography [2]–[4], and true random number generation [5]–[8].”
BackgroundSabeena, J., & Sagar, P. L. (2023) · International Conference on Sustainable Communication Networks and Application (ICSCNA) · doi:10.1109/icscna58489.2023.10370453 · Cited by 4 · see citing works
A quantum image encryption scheme based on quantum Arnold transform and hyper 5D chaotic system
Liu, L., Yin, C., & Dong, Y. (2025) · Journal of Applied Physics · doi:10.1063/5.0265586 · Cited by 4 · see citing works
Zhanfei, M., Wei, H., Jiang, J., Wang, B., Wang, H., & Di, Z. (2025) · PLoS ONE · doi:10.1371/journal.pone.0332943 · Cited by 6 · see citing works
“The SM9 standard, as the latest development in identity-based cryptography, eliminates certificate management and achieves lightweight and quantum-resistant authentication [7], providing a promising alternatives.”
Dimensionality reduction using neural networks for lattice-based cryptographic keys
Wahlang, R., & Chandrasekaran, K. (2024) · International Journal of Computers and Applications · doi:10.1080/1206212x.2024.2396328 · Cited by 3 · see citing works
“The survey [24] showed that these GAN networks showed promising results and various other research have been working on this discovery to further refine the scheme.”
InfluentialNeural Networks Meet Elliptic Curve Cryptography: A Novel Approach to Secure Communication
Wøien, M. C., Çatak, F. Ö., Kuzlu, M., & Cali, Ü. (2024) · IEEE Virtual Conference on Communications (VCC) · doi:10.1109/vcc63113.2024.10914360 · Cited by 3 · see citing works
“Recent studies have demonstrated the ability of neural networks to design secure communication protocols using symmetric cryptography [6].”
Hill Matrix and Radix-64 Bit Algorithm to Preserve Data Confidentiality
Ali, A., Nadeem, M., Riaz, S., et al. (2023) · Computers, materials & continua/Computers, materials & continua (Print) · doi:10.32604/cmc.2023.035695 · Cited by 3 · see citing works
A taxonomy proposal of information assurance and data quality solutions in smart cities
Suleman, D., Shibl, R., Ansari, K., & Yakoi, P. S. (2025) · Franklin Open · doi:10.1016/j.fraope.2025.100436 · Cited by 2 · see citing works
Gajbhiye, P., Turankar, P. A., & Dhone, M. (2025) · International Conference on Sustainability, Innovation & Technology (ICSIT) · doi:10.1109/icsit65336.2025.11295049 · Cited by 2 · see citing works
“Abadi and Andersen [2], in their seminal work on adversarial neural cryptography, introduced a framework where neural networks learn to autonomously perform encryption and decryption in the presence of an adversary.”
Tsmots, I., Tkachenko, R., Teslyuk, V., et al. (2023) · doi:10.1109/csit61576.2023.10324267 · Cited by 2 · see citing works
Secure Multi-Party Multi-Key Adversarial Cryptography Using GAN
Anushruthika, & Justus, J. J. (2024) · International Conference on Artificial Intelligence for Internet of Things (AIIoT) · doi:10.1109/aiiot58432.2024.10574667 · Cited by 2 · see citing works
“A broad survey by Meraouche et al. [20] dives into Neural Network-based Cryptography, exploring past research and emphasizing how GANs train networks to learn encryption skills.”
BackgroundTsmots, I., Teslyuk, V., Opotyak, Y., et al. (2022) · Ukrainian Journal of Information Technology · doi:10.23939/ujit2022.02.045 · Cited by 1 · see citing works
Al-Muhammed, M. J. (2023) · Journal of Cryptographic Engineering · doi:10.1007/s13389-023-00343-z · Cited by 1 · see citing works
“Neural network models are a unique computational paradigm for encryption because they can greatly weaken the correlations between the input and output [10].”
Exploring Quantum Circuits, Quantum Cryptography and Post Quantum-Computing Using Qiskit in Python
Singh, P. N., & Navaneetha, M. (2025) · Algorithms for intelligent systems · doi:10.1007/978-981-96-7473-2_23 · Cited by 1 · see citing works
Integration of artificial intelligence with information security: a systematic literature review
Negi, L., Ragiri, P. R., Bhatt, S., Garg, G., Sharma, K., & Bhatt, N. (2026) · Knowledge and Information Systems · doi:10.1007/s10115-025-02613-0 · Cited by 1 · see citing works
“The purpose is to secretly match the key without direct access to internal weights [87].”
Neural cryptography: Synergy and conflict between neural networks and cryptographic systems
Zhong, Y., Gu, J., & Yu, X. (2026) · Neurocomputing · doi:10.1016/j.neucom.2026.133084 · Cited by 1 · see citing works
Kumar, A., Singh, O. P., & Purkayastha, S. (2026) · Journal of Information Security and Applications · doi:10.1016/j.jisa.2026.104452 · Cited by 1 · see citing works
Harnessing Rubik's Cube Algorithm for Counteracting Man-in-the-Middle Attacks
Zahra, S. W., Zaman, M. A., Nadeem, M., et al. (2024) · Research Reports on Computer Science · doi:10.37256/rrcs.3120244605 · Cited by 1 · see citing works
“By converting data into a code that only authorized personnel can interpret, encryption ensures that unauthorized attempts to access the data will fail [25].”
BackgroundMethodImage Encryption Techniques: A Survey
Abughali, H. A., & Köse, U. (2024) · International Jordanian Cybersecurity Conference (IJCC) · doi:10.1109/ijcc64742.2024.10847281 · Cited by 1 · see citing works
“…input, hidden, and output layers, are increasingly employed in artificial intelligence-2024 based encryption, a concept proposed three decades ago but gaining attention now, with a focus on using neural networks to tackle cryptographic challenges like key trading or data encryption/decryption [27].”
An Enhanced Cryptography Technique (ECT) using Laplace Transform
Madhavi, M. V. D. N. S., Rajani, D., Prasad, J. S., & Sairam, P. V. S. (2022) · International Conference on Electronics, Communication and Aerospace Technology (ICECA) · doi:10.1109/iceca55336.2022.10009134
Ansari, J. S. D., & Tamilselvan, P. (2023) · International Journal on Recent and Innovation Trends in Computing and Communication · doi:10.17762/ijritcc.v11i11s.8183
The Dichotomy of Crypto and NN: War and Peace
Zolfaghari, B., Nemati, H., Yanai, N., & Bibak, K. (2023) · Springer eBooks · doi:10.1007/978-3-031-44807-2_2
Zolfaghari, B., Nemati, H., Yanai, N., & Bibak, K. (2023) · Springer eBooks · doi:10.1007/978-3-031-44807-2_3
Addabbo, T., Licciardo, G. D., Moretti, R., et al. (2024) · Lecture notes in electrical engineering · doi:10.1007/978-3-031-48121-5_41
Raja, V. (2024) · Advances in information security, privacy, and ethics book series · doi:10.4018/979-8-3693-4159-9.ch009
A Survey of Cryptographic Data Protection and Machine Learning
Kanagavalli, V. R., & Meenakshi, A. V. (2024) · Advances in information security, privacy, and ethics book series · doi:10.4018/979-8-3693-4159-9.ch001
Enhancing Cryptography Using Regression And Feature Selection
Kalaiselvi, V., Theerej, C., Subha, T., et al. (2024) · International Conference on Communication, Computing and Internet of Things (IC3IoT) · doi:10.1109/ic3iot60841.2024.10550372
Al-Muhammed, M. J. (2024) · Neural Computing and Applications · doi:10.1007/s00521-024-10665-6
“The neural network’s complex computations make it an excellent model for cryptography [22, 41].”
Kaillash Kumar, S., Sweetlin, J. D., & Horsley Solomon, P. (2024) · doi:10.1109/cict64037.2024.10899637
“In this research, the dynamic field of neural cryptography is thoroughly examined, with a focus on investigating the potential of convolutional neural networks (CNNs) as reliable guardians of secure communication channels [2].”
Simulator of Quantum Bit Error Correction Process based on Artificial Neural Networks
Widlarz, T., & Niemiec, M. (2025) · International Conference on Quantum Communications, Networking, and Computing (QCNC) · doi:10.1109/qcnc64685.2025.00122
“In cryptography one of the most popular feedforward neural networks is the tree parity machine (TPM) [5].”
Application of neural networks in lattice based cryptography
Chandrasekaran, K., & Wahlang, R. (2025) · Elsevier eBooks · doi:10.1016/b978-0-443-29096-1.00001-5
Accessing Encrypted Information with Deep Learning
Tlachenska, E., Ivanov, K., Nenova, M., et al. (2025) · International Scientific Conference on Information, Communication and Energy Systems and Technologies (ICEST) · doi:10.1109/icest66328.2025.11098206
Blackledge, J., & Shah, S. (2025) · IntechOpen eBooks · doi:10.5772/intechopen.1012783
Key-Gated Generative Obfuscation for Embedded Strings
Ровінський, В. А., Horielov, V., & Sharyn, S. V. (2026) · Lecture notes in computer science · doi:10.1007/978-3-032-14782-0_28
Lee, H., Han, C., Gabor, T., et al. (2026) · Journal of Intelligent Manufacturing · doi:10.1007/s10845-026-02864-w
Design Modulo Multiplier for Symmetric Key Cryptography Using HDL
Singh, S., Singh, L., Sinha, P., et al. (2022) · International Journal of Communication Systems and Network Technologies · doi:10.18486/ijcsnt/11.1.143
“We show the difference between normal modulo multiplier and the proposed multiplier [15] .”
Iqbal, S. A., Hafez, M. G., Sakthivel, R., et al. (2026) · International Journal of Systems Science · doi:10.1080/00207721.2026.2711942
Secure Blockchain-Based Identity Authentication Mechanism for Edge-IoT Networks
Pathak, A., Al‐Anbagi, I., & Hamilton, H. J. (2026) · IEEE Open Journal of the Communications Society · doi:10.1109/ojcoms.2026.3726429
“Public Key Infrastructure (PKI) [15], [16] provides strong security but su ff ers from poor scalability, high latency, and a lack of continual verification.”
Rajendran, V. P., Deepalakshmi, P., Chinnasamy, P., et al. (2026) · Quantum Reports · doi:10.3390/quantum8030091
- Authors
- Meraouche, I., Dutta, S., Tan, H., & Sakurai, K.
- Affiliations
- Kyushu University (JP)
- University of Calgary (CA)
- Venue
- IEEE Access
- Published
- 2021
- Volume
- 9
- Pages
- 124727-124740
- ISSN
- 2169-3536 (ISSN-L)
- OpenAlex
- W3197555326
- Semantic Scholar
- 41bea0586e8421d68b6221f0dfb0aa98c41a2f53
- Cited by
- 52
- References
- 48
- Citations by year
- 2026: 8 · 2025: 12 · 2024: 15 · 2023: 9 · 2022: 8
- FWCI
- 2.78
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- IEEE Access (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- Ministry of Education, Culture, Sports, Science and Technology
- Japan Science and Technology Agency
- Strategic International Collaborative Research Program
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Cryptography and Data Security
- Physical Sciences › Computer Science › Artificial Intelligence › Cryptographic Implementations and Security
- Physical Sciences › Computer Science › Artificial Intelligence › Adversarial Robustness in Machine Learning
- Keywords
- generative adversarial networks
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